An optimized large-stencil approach for capturing near-PI frequencies

Ghasemi, A ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.2514/6.2006-2634
  3. Publisher: American Institute of Aeronautics and Astronautics Inc , 2006
  4. Abstract:
  5. Large-stencil schemes which their spectral properties are acceptable in the vicinity of ω = π are analyzed for the first time. A machine independent model for evaluating the efficiency of generalized time-marching finite-difference algorithms over periodic domains is developed. This model which is based on operation count reveals that for small values of Total Computational Cost(TCC), the previous low-order small-stencil schemes are more efficient while for moderate TCC, the efficiency of optimized large-stencil schemes abruptly increases. This important result is the motivation for developing optimized large-stencil schemes. The current schemes are successfully implemented in a full compressible Navier-Stokes solver over general coordinates. It is shown that the current schemes are stable in practical situations and are able to resolve fine structures of flow over coarse grids. The robustness of current schemes is validated through several benchmark problems of Fluid Dynamics. Copyright © 2006 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved
  6. Keywords:
  7. Algorithms ; Compressible flow ; Finite difference method ; Mathematical models ; Navier Stokes equations ; Optimization ; Fine structures ; Finite difference algorithms ; Total Computational Cost (TCC) ; Natural frequencies
  8. Source: 12th AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, 8 May 2006 through 10 May 2006 ; Volume 5 , 2006 , Pages 3010-3022 ; 1563478099 (ISBN); 9781563478093 (ISBN)
  9. URL: https://arc.aiaa.org/doi/10.2514/6.2006-2634